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Finding the Third Proportional to 241,569 and 530,930

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Solution

The third proportional to 241,569 and 530,930 is: 1,166,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,569 : 530,930 = 530,930 : x
  2. Step 2: Convert to fraction form
    241,569/530,930 = 530,930/x
  3. Step 3: Cross multiply
    241,569x = 530,930 × 530,930
  4. Step 4: Simplify right side
    241,569x = 281,886,664,900
  5. Step 5: Solve for x
    x = 281,886,664,900/241,569
  6. Step 6: Final answer
    x = 1,166,899.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.